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I was looking at a picture of a platform that you could use for hunting. They didn't include all the dimensions, but they do include some odd information! You can help me figure out the other dimensions.

This platform is 3 feet in diameter and centered on top of a metal pole. The ladder leans against the outer edge of platform. When you have climbed 5 feet up the ladder, you are 4 feet above the ground. When you are 10 feet up the ladder, you're 8 feet above the ground. And when you reach the top of the ladder, you're 16 feet off the ground.

How long is the ladder? How far is the base of the ladder from the center of the metal pole?

Make sure you explain each part you figure out!

Solutions

Annie says:

A list of all the people who got this problem right follows the highlighted solutions below, and most of the solutions are also available.

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The following students submitted correct solutions this week:

Chris Tinglof and Kevin Kelly, Grade 8, St. Gregory School
Nicole, Grade 8, St. Gregory School, Plantation, Florida
Jim Nguyen, Grade 9, Smoky Hill High School, Aurora, Colorado
Amey Adkins and Jonathan Emmons, Grade 9, Franklin County High School, Rocky Mount, Virginia
Xandrian McMacken, Grade , Metro-Tech VIP, Phoenix, Arizona
Bonnie-Kim Hang, Grade 4, Arab Elementary School, Arab, Alabama
John Allen, Grade 8, Louis Pasteur Middle School, Orangevale, California
Jennifer Champine, Grade 9, Southeast Raleigh High School, Raleigh, North Carolina
Sumith Madhavarapu and Neil Crittenden, Grade , Casady School, Oklahoma City, Oklahoma
Peter Vaughan, Grade 8, Morrill Middle School, San Jose, California
Maria, Grade 9, Gould Academy, Bethel, Maine
Aaron Bartley, Grade 9, Southeast Raleigh High School, Raleigh, North Carolina
David Grant, Grade , Livermore High School, Livermore, California
C. J. B., Grade 10, S.I.
Emily Castor, Grade 9, Granada High School, Livermore, California
Diego Cavadini, Grade 4th class (age: 14 years), Scuola Media
Beth Bowman, Grade 9, Franklin County High School, Rocky Mount, Virginia
Michael Couillard, Grade 11, Colchester High School, Colchester, Vermont
C. G. and Eve Levinson and Katy F-M, Grade 9, Germantown Academy, Fort Washington, Pennsylvania
Mike, Grade 11, Will C. Wood High School, Vacaville, California
Alex Morgovsky, Grade 11, Akiba Hebrew Academy, Merion, Pennsylvania
Frannie Laks, Grade 10, Akiba Hebrew Academy, Merion, Pennsylvania
Arielle Cohen, Grade 10, Akiba Hebrew Academy, Merion, Pennsylvania
Doug Copenhaver, Grade 10, Granada High School, Livermore, California
Josh Boyette, Grade 10, Akiba Hebrew Academy, Merion, Pennsylvania
Arpad Nagy, Grade 11, Livermore High School, Livermore, California
Sammie Starrett, Grade 8,
Richard Balsley, Grade 10, Granada High School, Livermore, California
Mike Johannsen, Grade 11, Granada High School, Livermore, California
Keith Clayton, Grade , Redmond High School, Redmond, Oregon
Gabe Lauderdale, Grade , Redmond High School, Redmond, Oregon
Michelle Peterson, Grade , Redmond High School, Redmond, Oregon
Adrienne Ruegg, Grade , Carlisle High School, Carlisle, Pennsylvania
Melissa Hackel, Grade , Granada High School, Livermore, California
Caleb Ho, Grade 11, Monterey Bay Academy, Watsonville, California
Ikechukwu Njoku, Grade 11, Wingate High School, Brooklyn, New York
Kristin Foster, Grade 9, Southeast Raleigh High School, Raleigh, North Carolina
Jon Gantman, Grade 10, Akiba Hebrew Academy, Merion, Pennsylvania
Doug Eglen, Grade beyond, out
Gordon Bockus Jr., Grade Freshman, Eastern Oklahoma State College, Wilburton, Oklahoma
Reagan, Grade 12, Hinsdale South School, Darien, Illinois
Stephen Nolen, Grade 9, Smoky Hill High School, Aurora, Colorado
Jake Nelson, Grade 9, Smoky Hill High School, Aurora, Colorado
Steven Hagen, Grade 9, St. John Bosco High School, Bellflower, California
Ashwini Arumugaswamy, Grade 11, Methodist Ladies' College, Perth, Australia
Roger Dieterich III, Grade 10, Smoky Hill High School, Aurora, Colorado
Ben and Dallas Witty, Grade , Redmond High School, Redmond, Oregon
Mohammad Faizal b Saadun, Grade Form 2, Sekolah Agama Pontian, Johor, Malaysia
Natalie Lauderdale, Grade , Redmond High School, Redmond, Oregon
Bethany Kim, Grade , Redmond High School, Redmond, Oregon
My Trinh, Grade 10, Highland Park Senior High School, St. Paul, Minnesota
Giai Tran, Grade 10, Highland Park Senior High School, St. Paul, Minnesota
Michael Steven, Grade 10, St. John Bosco High School, Bellflower, California
Lee Underwood, Grade 10, St. John Bosco High School, Bellflower, California
Betsy Feldman, Grade 9, Marple Newtown Senior High School, Newtown Square, Pennsylvania
Ryan Kelly, Grade 10, St. John Bosco High School, Bellflower, California
Brandon Unger, Grade 10, St. John Bosco High School, Bellflower, California
Philip Deary, Grade 10, St. John Bosco High School, Bellflower, California
Vicki Freedman, Grade 10, Germantown Academy, Fort Washington, Pennsylvania
Arnold Alegado, Grade 10, St. John Bosco High School, Bellflower, California
John de la Cruz, Grade 10, St. John Bosco High School, Bellflower, California
Erin Johnson, Grade 9, Skyview High School, Vancouver, Washington
Tony Caddigan, Grade 11, Nashoba Tech, Westford, Massachusetts
Justin Drummonds, Grade , Smoky Hill High School, Aurora, Colorado
Natko Bajic, Grade 7, Pojisan Primary School, Split, Croatia
Allison Charnock, Grade , Shaler Area High School, Pittsburgh, Pennsylvania
Rachael Pinsker, Grade , Southeast Raleigh High School, Raleigh, North Carolina
Sergio Vasquez, Grade 10, St. John Bosco High School, Bellflower, California
Bob Bullock, Grade 10, The Hun School of Princeton, Princeton, New Jersey
Robert Boismier, Grade 10, Monterey Bay Academy, Watsonville, California
Gregory R and Gary B, Grade 11, Granada High School, Livermore, California
Matthew Jahnke, Grade 4, Northview Elementary School
Max Guise, Grade 5, La Jolla Country Day School, San Diego, California
Brandi Marsh, Grade 9, Ethel Walker School, Simsbury, Connecticut
Mathew Steadman, Grade 8, Odle Middle School, Bellevue, Washington
Tiffanie Lam, Grade 8, Sequoia Middle School, Pleasant Hill, California
Avrum Tilman, Grade 10, Akiba Hebrew Academy, Merion, Pennsylvania
Aaron Mertz, Grade 8, Plum Grove Junior High School, Rolling Meadows, Illinois
Noam Abrams, Grade 10, Akiba Hebrew Academy, Merion, Pennsylvania
Jeff Kriske, Grade 9, Lowell High School, Lowell, Indiana
June Lin, Grade 5, Sahuaro Elementary School, Tuscon, Arizona
Vince Cali, Grade ,
Emily Demich, Grade 10, Shaler Area High School, Pittsburgh, Pennsylvania
Catalina Anghel, Grade , Mackenzie High School, Deep River, Ontario, Canada
Cameron Shaw, Grade 9, Southaven High School, Southaven, Mississippi
Huw Wilkins, Grade 6, Cygnet, Tasmania, Australia
Rachel Forster, Grade 5, Cygnet, Tasmania, Australia
Rajeshwari Kesavan, Grade 10, S. S. S. Sector 10, Bhilai, M. P., India
Matthew Roitstein, Grade 8, Placerita Junior High School, Newhall, California
Saera Geller, Grade 10, Oak Park and River Forest High School, Oak Park, Illinois
Patrick Draper, Grade 9, Normal Community West High School, Normal, Illinois
Jenny Kaplan, Grade 7, Castilleja Middle School, Palo Alto, California
Fred J., Grade 8, Baker
Chris Bronson, Grade 10, Granada High School, Livermore, California
Alex Chen, Grade 7, Odle Middle School, Bellevue, Washington
Shantel Naylor, Grade 9, Granada High School, Livermore, California
Megan Via, Grade 9, Franklin County High School, Rocky Mount, Virginia
Zach Moore, Grade , Smoky Hill High School, Aurora, Colorado
Brian Bailey, Grade , Shaler Area High School, Pittsburgh, Pennsylvania
Joel Jorgenson, Grade , Redmond High School, Redmond, Oregon
Mitsunori Tanabe, Grade 11, Monterey Bay Academy, Watsonville, California
Jen Erhart, Grade , Shaler Area High School, Pittsburgh, Pennsylvania
Emily Schuler, Grade 10, Shaler Area High School, Pittsburgh, Pennsylvania
Heather Beck, Grade 10, Shaler Area High School, Pittsburgh, Pennsylvania
Alison Miller, Grade 6, homeschooled, Niskayuna, New York
Chad Bunger, Grade , Redmond High School, Redmond, Oregon
Ryan Holcomb, Grade , Redmond High School, Redmond, Oregon
Clint Soose, Grade 10, Shaler Area High School, Pittsburgh, Pennsylvania
Greg Alway, Grade , Redmond High School, Redmond, Oregon
Brian Porch, Grade , Redmond High School, Redmond, Oregon
Chaim Bloom, Grade 10, Akiba Hebrew Academy, Merion, Pennsylvania
Jennifer Liang, Grade 8, Odle Middle School, Bellevue, Washington
Kristy Dalrymple, Grade , Granada High School, Livermore, California
Christie Heyer, Grade 8, Odle Middle School, Bellevue, Washington
Chris Lauber, Grade 9, Smoky Hill High School, Aurora, Colorado
Jordie Kvidera, Grade , Odle Middle School, Bellevue, Washington
Lisa Simmons, Grade , Redmond High School, Redmond, Oregon
Alex Chernyavsky, Grade , Akiba Hebrew Academy, Merion, Pennsylvania
Kari Kristensen, Grade , Redmond High School, Redmond, Oregon
Charlie Wenger, Grade 8, Odle Middle School, Bellevue, Washington
Sam Foss, Grade , Camden-Rockport High School, Camden, Maine
Erika Brackenbrough, Grade , Redmond High School, Redmond, Oregon
Alicia Benson, Grade 11, Shelby County High School, Columbiana, Alabama
Clint Billingsley, Grade 10, Shelby County High School, Columbiana, Alabama
Teneal Dollar, Grade 10, Shelby County High School, Columbiana, Alabama
Darrin Koski and Trent Ludwig, Grade , Redmond High School, Redmond, Oregon
Gina Guss, Grade , Redmond High School, Redmond, Oregon
Danielle Lytle, Grade , Redmond High School, Redmond, Oregon
Joe Boone, Grade , Redmond High School, Redmond, Oregon
Leia Nitschelm and Jessie Nelson, Grade , Redmond High School, Redmond, Oregon
Zimran Douglas, Grade 12, Wingate High School, Brooklyn, New York
Giai Tran, Grade 9, Highland Park Senior High School, St. Paul, Minnesota
Jeff Martin, Grade , Highland Park Senior High School, St. Paul, Minnesota

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